The method of splitting in the theory of regular and singular perturbations
type: Item
instance of: scholarly article
title: The method of splitting in the theory of regular and singular perturbations
zbMATH Open document ID: 1009.34047
author: Yu. A. Konyaev
published in: Russian Mathematics
publication date: 2002-08-06T00:00:00Z
review text: A new method is suggested for solving several classes of regularly and singularly perturbed problems. For instance, applications to solving of spectral problems, problems of theory of branching, finding roots of nonlinear equations without using Newton's diagrams, and nonlinear spectral problems are discussed. Furthermore, for a class of singularly perturbed multipoint boundary value problems, an asymptotic decomposition of the solution and the structure of the boundary layer in a closed analytical form are found without using Green's function technique.
Mathematics Subject Classification ID: 34E10
Mathematics Subject Classification ID: 34E20
Mathematics Subject Classification ID: 34D15
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34L16
zbMATH DE Number: 1758658
zbMATH Keywords: regular and singular perturbations
zbMATH Keywords: spectral problems
zbMATH Keywords: branching
zbMATH Keywords: finite-dimensional operators
zbMATH Keywords: linear operators of arbitrary order
zbMATH Keywords: singularly perturbed multipoint boundary value problem
reviewed by: Yuriy V. Rogovchenko
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1758658